Answer:
$2539.47
10.18722679 (make sure you round this)
Step-by-step explanation:
a.)
Equation for compound interest:
which rounds to
2539.47
b.)
using the same equation we can write
not sure how to round this, so I'll leave that part up to you
We conclude that both functions f(x) and g(x) are positive on the interval (4, ∞)
<h3>
In which interval both functions f(x) and g(x) are positive?</h3>
On the image we can see two graphs, the blue one is the graph of f(x) and the red one is the graph of g(x).
A function is positive when its graph is above the horizontal line.
For the case of f(x), it is positive on the intervals:
(-∞, -2) and (1, ∞)
And for function g(x), we can see that it is positive on the interval:
(4, ∞)
Now, the interval where both functions are positive is in the intersection between the intervals (in this case is the smaller of the intervals, so it is the correspondent to g(x)), which is (4, ∞)
We conclude that both functions f(x) and g(x) are positive on the interval (4, ∞).
If you want to learn more about intervals:
brainly.com/question/1503051
#SPJ1
Answer:
676 (in)³ is the volume of the following question
Draw a diagram of the triangle to understand how the solution works.
Angle C is right angle, so c is the length of side opposite angle C, so it the hypotenuse, and so on.
if B=51, then a is the adjacent side to angle B (excluding hypotenuse).
therefore
a=c*cos(B)=23.5cos(51)=14.8
Note: question is confusing, because a is a length, but instructions require round off to nearest degree, so please check for typos.